椒盐卷饼结的双曲扭转多项式

IF 0.5 4区数学 Q3 MATHEMATICS

Advances in Geometry Pub Date : 2021-04-01 DOI:10.1515/advgeom-2020-0017

Takayuki Morifuji, Anh T. Tran

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引用次数: 0

摘要

摘要在本文中，我们明确地计算了一个无限大的椒盐卷饼节族的双曲扭转多项式的最高阶项。这为Dunfield、Friedl和Jackson的一个猜想提供了支持证据，即双曲扭转多项式决定了双曲结的亏格性和纤维化。这个结族猜想的属部分的验证也来自Agol和Dunfield[1]或Porti[19]的工作。

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Hyperbolic torsion polynomials of pretzel knots

Abstract In this paper, we explicitly calculate the highest degree term of the hyperbolic torsion polynomial of an infinite family of pretzel knots. This gives supporting evidence for a conjecture of Dunfield, Friedl and Jackson that the hyperbolic torsion polynomial determines the genus and fiberedness of a hyperbolic knot. The verification of the genus part of the conjecture for this family of knots also follows from the work of Agol and Dunfield [1] or Porti [19].

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来源期刊

Advances in Geometry 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Geometry is a mathematical journal for the publication of original research articles of excellent quality in the area of geometry. Geometry is a field of long standing-tradition and eminent importance. The study of space and spatial patterns is a major mathematical activity; geometric ideas and geometric language permeate all of mathematics.